Please solve 4x² + 8x + 16 = 0 and show steps. Confused..

first divide by 4

x^2 + 2x + 4 = 0
complete the square, in this case faster than the formula
x^2 + 2x + 1 = -4 + 1
(x+1)^2 = -3
x+1 = ± √-3
x = -1 ± i√3